Question

use properties of operations to factor 8W plus 16 while using the GCF

Answer 1

To factor the expression \( 8W + 16 \) using the Greatest Common Factor (GCF), follow these steps:

1. **Identify the GCF**:
The coefficients in the expression are 8 and 16. The GCF of 8 and 16 is 8.

2. **Factor out the GCF**:
Divide each term in the expression by the GCF and express it in factored form.

- For \( 8W \): \( \frac{8W}{8} = W \)
- For \( 16 \): \( \frac{16}{8} = 2 \)

3. **Write the factored form**:
Now, factor out the GCF (which is 8) from the original expression:

\[
8W + 16 = 8(W + 2)
\]

Thus, the factored form of the expression \( 8W + 16 \) is:

\[
8(W + 2)
\]